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The purpose of this operation is to apply a method of variational iterations and homotopy perturbation method to the solution of the linear and nonlinear integral equations of Voltaire, and also to confirm reliability of this method in processing of scientific problems. In this operation the variational iterations method and homotopy perturbation method is used to approximate solution typical the linear and nonlinear integral equations of Voltaire of a different order and different type. Results of this method meets quicker to the exact decision for some linear and nonlinear problems. Variational iterations method and homotopy perturbation method very effective and idle time.

APPLICATION THE VARIATIONAL ITERATION METHOD AND HOMOTOPY PERTURBATION METHOD FOR THE APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS VOLTAIRE